Online GCD Calculator is useful to find the GCD of 896, 164, 525, 175 quickly. Get the easiest ways to solve the greatest common divisor of 896, 164, 525, 175 i.e 1 in different methods as follows.
Given Input numbers are 896, 164, 525, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (896, 164, 525, 175) = 1.
Given numbers are 896, 164, 525, 175
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 896, 164, 525, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 164) = 36736
GCD(896, 164) = ( 896 x 164 ) / 36736
= 896 / 164
= 896
Step2:
LCM(4, 525) = 2100
GCD(4, 525) = ( 4 x 525 ) / 2100
= 4 / 525
= 4
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 896, 164, 525, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 164, 525, 175
The greatest common divisor of numbers 896, 164, 525, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 164, 525, 175 is 1.
1. What is the GCD of 896, 164, 525, 175?
GCD of given numbers 896, 164, 525, 175 is 1
2. How to calculate the greatest common divisor of 896, 164, 525, 175?
We can find the highest common divisor of 896, 164, 525, 175 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 896, 164, 525, 175 i.e 1.
3. How can I use the GCD of 896, 164, 525, 175Calculator?
Out the numbers 896, 164, 525, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.